What is the standard form of a quadtratic

The video tutorial explains the standard form of a quadratic function, which is F(x) = a(x - h)^2 + k. It highlights the importance of this form in identifying the vertex of a parabola, which is (h, k). The tutorial also discusses how the sign of 'a' affects the parabola's orientation, with positive 'a' opening upwards and negative 'a' opening downwards. The video emphasizes the ease of determining the vertex without complex calculations when using the standard form.

What is the standard form of a quadratic function?

• F(x) = ax^2 + bx + c

• F(x) = a(x + h)^2 - k

• F(x) = a(x - h)^2 + k

• F(x) = ax + b

In the standard form of a quadratic function, what do the parameters h and k represent?

• The x-intercepts

• The vertex of the parabola

• The slope and y-intercept

• The axis of symmetry

Which of the following is true about the vertex in the standard form of a quadratic function?

• The vertex is at (a, b)

• The vertex is at (0, 0)

• The vertex is at (h, k)

• The vertex is always at the origin

How does the sign of 'a' in the standard form affect the parabola?

• It determines the width of the parabola

• It indicates whether the parabola opens up or down

• It changes the axis of symmetry

• It affects the vertex position

If 'a' is less than zero in the standard form, what is the direction of the parabola?

• It opens upwards

• It opens downwards

• It opens to the right

• It opens to the left